Least Common Multiple of 1773 and 1777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1773 and 1777 the smallest integer that is 3150621 that is divisible by both numbers.

Least Common Multiple (LCM) of 1773 and 1777 is 3150621.

LCM(1773,1777) = 3150621

LCM of 1773 and 1777

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1773 and 1777

LCM of 1773 and 1777 is 3150621

Least common multiple can be found by multiplying the highest exponent prime factors of 1773 and 1777. First we will calculate the prime factors of 1773 and 1777.

Prime Factorization of 1773


3 1773
3 591
197 197
1

Prime factors of 1773 are 3,197. Prime factorization of 1773 in exponential form is:

1773 = 32×1971

Prime Factorization of 1777


1777 1777
1

Prime factors of 1777 are 1777. Prime factorization of 1777 in exponential form is:

1777 = 17771

Now multiplying the highest exponent prime factors to calculate the LCM of 1773 and 1777.

LCM(1773,1777) = 32×1971×17771
LCM(1773,1777) = 3150621

Factors of 1773

List of positive integer factors of 1773 that divides 1773 without a remainder.

1, 3, 9, 197, 591, 1773

Factors of 1777

List of positive integer factors of 1777 that divides 1777 without a remainder.

1, 1777

Least Common Multiple of 1773 and 1777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1773 and 1777, than apply into the LCM equation.

GCF(1773,1777) = 1
LCM(1773,1777) = ( 1773 × 1777) / 1
LCM(1773,1777) = 3150621 / 1
LCM(1773,1777) = 3150621

Properties of LCM 1773 and 1777

(i) The LCM of 1777 and 1773 is associative

LCM of 1773 and 1777 = LCM of 1777 and 1773

Related Least Common Multiples of 1773

Related Least Common Multiples of 1777

Frequently Asked Questions on LCM of 1773 and 1777

1. What is the LCM of 1773 and 1777?

Answer: LCM of 1773 and 1777 is 3150621.

2. What are the Factors of 1773?

Answer: Factors of 1773 are 1, 3, 9, 197, 591, 1773. There are 6 integers that are factors of 1773. The greatest factor of 1773 is 1773.

3. What are the Factors of 1777?

Answer: Factors of 1777 are 1, 1777. There are 2 integers that are factors of 1777. The greatest factor of 1777 is 1777.

4. How to Find the LCM of 1773 and 1777?

Answer:

Least Common Multiple of 1773 and 1777 = 3150621

Step 1: Find the prime factorization of 1773

1773 = 3 x 3 x 197

Step 2: Find the prime factorization of 1777

1777 = 1777

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3150621 = 3 x 3 x 197 x 1777

Step 4: Therefore, the least common multiple of 1773 and 1777 is 3150621.